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Finding the Third Proportional to 690,328.83 and 988,205.06

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Solution

The third proportional to 690,328.83 and 988,205.06 is: 1,414,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,328.83 : 988,205.06 = 988,205.06 : x
  2. Step 2: Convert to fraction form
    690,328.83/988,205.06 = 988,205.06/x
  3. Step 3: Cross multiply
    690,328.83x = 988,205.06 × 988,205.06
  4. Step 4: Simplify right side
    690,328.83x = 976,549,245,550.63
  5. Step 5: Solve for x
    x = 976,549,245,550.63/690,328.83
  6. Step 6: Final answer
    x = 1,414,614.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.